Syllabus Slides for Math 111Techniques of Calculus II

Instructor:Sara Jamshidi

January 13, 2015

BASIC INFORMATION

Course Information

I Section: 01I Course Number: 405616I Class Time: TR 10:10 AM - 11:00 AMI Location: 110 Osmond Lab

I Section: 02I Course Number: 405619I Class Time: TR 1:25 PM - 2:15 PMI Location: 106 Osmond Lab

I Instructor: Sara Jamshidi

I Prerequisite: Math 110, or equivalent

I Text: No Texbook

Course Information: Material

Much of the course material will come from the followingtextbooks. You are not obligated to purchase them.

I Schaufele, C., & Zumoff, N. (1993). Earth algebra: Collegealgebra with applications to environmental issues (2nd ed.).New York: HarperCollins College.

I Smith, D., & Moore, L. (1996). Calculus: Modeling andapplication. Lexington, Mass.: D.C. Heath.

I Hallett, D., & Lock, P. (2014). Applied calculus (5th ed.).

Instructor Information

Sara Jamshidi (jam-SHEE-dee)

I Office: McAllister Bldg 419

I E-mail: jamshidi@math.psu.edu

I Office Phone: (814) 863-9049

I Office Hours: T 2:30 - 3:30pm or by appointment

I Piazza “Office” Hours: MW 4:30pm - 5:30pm

Piazza “Office” Hours

I Piazza is a message board where you can post questions anytime.

I I will log on during MW 4:30pm - 5:30pm (and perhaps othertimes) to answer any questions.

I You can post a question byI Clicking on the “New Post”I Post to Entire ClassI Select Folder(s) based on what assignments the question

relatesI The Summary should briefly state your question.I In the details portion, write out your question. You can insert

screen shots, photos and/or scanned images. You can alsowrite using math symbols by clicking on the equation editorbutton “fx .”

COURSE GOALS,OBJECTIVES & TOPICS

About This Course

Course Description: This course will use topics you’ve learnedfrom algebra and calculus to determine (sometimes from raw data)optimized solutions important to ecology and economics–likeecological yield, maximum sustainable yield and optimumsustainable yield. Below is a tentative schedule of topics.

Introduction & Review . . . . . . . . . . . . . . . . . . . . . . . . . . 1/13 - 1/15Systems of Linear Equations; Matrices; Vectors . . .1/20 - 1/27Best Fit Functions and Raw Data . . . . . . . . . . . . . . . . . . . . . . 1/29Stocks and Flows; Derivatives . . . . . . . . . . . . . . . . . . . . 2/3 - 2/10Partial Derivatives, Gradients & Topography . . . . . 2/10 - 2/19Calculus-based Optimization . . . . . . . . . . . . . . . . . . . . . .2/24 - 3/5Lagrange Multipliers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3/17 - 3/24Ordinary Differential Equations . . . . . . . . . . . . . . . . . . . 3/26 - 4/9Systems of ODEs (Predator-Prey) . . . . . . . . . . . . . . . 4/13 - 4/23Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4/28 - 4/30

Course Goals

Students will

I find a possible best-fit functions for a given data set andexplain the strengths and weaknesses of such anapproximation;

I identify relevant information using (partial) derivatives and(double) integrals;

I recognize and solve real-life optimization problems (maximaand minima) in one or more variables;

I use numerical methods to approximate optimum solutions;

I recognize and classify ordinary differential equations and knowhow to solve them (or approximate a solution);

I and recognize systems of ordinary differential equations anddetermine equilibrium point(s).

Course Objectives

I Goals are the “big picture” aims of this class.

I Objectives are the smaller aims that allow us to achieve thosegoals.

I A list of the main objectives are at the end of the syllabus.

I I will also list the appropriate objectives at the beginning ofevery lecture.

COURSE PHILOSOPHYON LEARNING

Course Philosophy – Language

Here are some of my beliefs about math:

1. Mathematics is the formalization of quantitative problemsolving.

2. We are all natural problem solvers.

3. It’s the formalization that makes math hard.

In this sense, math is like a language.

I Study math like you would a languageI Practice dailyI Understand terminologyI Review! Review! Review!

Course Philosophy - Activity

I also think math is more than a language:

1. Math is sometimes done under a time limit

2. Math is required to be accurate and precise

3. Math is expected to be presented clearly

The quickness and meticulousness required in mathematics makeslearning the subject similar to learning a sport.

I Learn math like it is a sport.I Practice dailyI Perfect how you do it

(i.e. check your work, think about ways to do it better)I Take care of your mind like it is a muscle

(i.e. sleep, eat well, do fun things, challenge yourself)

Course Philosophy – Research

I Learning Changes the Brain. New neurons and connectionsbetween neurons form in response to that new information.The brain responds physically, chemically and functionally toeverything we think and do.

I Mistakes are Important to Learning. When you make amistake and reflect, you learn the concept better than you ifyou got it right the first time! Make mistakes and share them;they are learning opportunities.

Course Philosophy – Research

I Learning Takes Time. Ideas are neural patterns in the brain.To really learn an idea, your brain needs to form and practicethose patterns. The best way to learn something is to do itregularly throughout the week. No cramming!

I Explaining Concepts is the Best Practice. When youexplain a concept in your own words, you learn the ideas in aricher and lasting way.

Course Philosophy – Conclusions

I My conclusions:

I If We Both Work, You Will Learn This Material. If youhave the regular practice and guidance you need, you will learnthe material. I will do my best to provide you with all thenecessary resources.

I We Need a Welcoming Environment. We want awelcoming environment where we can all work together tothink problems through. If we share mistakes, we will all learnthe material better. If we explain our thinking, we learneverything better.

Course Philosophy - Execution

With this in mind, the course is structured so that

I we learn in manageable chunks,

I we practice immediately and consistently,

I we review previous material as time allows,

I we will emphasize neatness and clarity in our written work (topush us to communicate better), and

I feedback is given as soon as possible so opportunities forimprovement can be utilized.

COURSE STRUCTURE

Quizzes

I The quizzes are essential to this course.

I It will be assigned at the end of every lecture.

I The quizzes are due 1pm on the day of the following lecture.

I No late quizzes will be accepted.

I Your three lowest quizzes will be dropped

I Quizzes can be taken up to 3 times before the due date.

I Each quiz is worth 4 points.

Homework

I Five homework assignments will be given this semester, eachworth 20 points.

I This assignments should be treated as lab reports. You will begiven data and asked to determine various features of the databased on our work in the class.

I You are encouraged to work in groups, but you must writeeverything in your own words.

I Your homework should be neatly written or typed with theappropriate graphics to describe your work. They should betreated as professional projects.

I No late homework will be accepted.

I Homework is to be turned in on Angel.

I The homeworks are representative of the exams in this class.

I A rubric will be provided with the first assignment.

Exams

I Exams in this class will be designed to mimic the real world.You will be allowed to use the internet or your calculator(although they shouldn’t be necessary).

I Each student will be given a unique problem set and asked tofigure out various things (based on what we’ve learned up tothat point.

I Although you may use your phone for internet, you are askednot to text/call/email anyone nor take a photo of your exam.

I The final exam will work in much the same way. It will becumulative.

I The homework assignments will be good practice for theseexams.

Attendance Policy

I Attendance is required for this class.I PollEverywhere will be the tool I use for determining

attendance.

I Participation is necessary for this class and, as a result, yourpresence is crucial to the course.

I You will be held responsible for all work covered in this course.

I It is university policy that students attend every class forwhich the student is scheduled.

A student whose irregular attendance causes him or her,in the judgment of the instructor, to become deficientscholastically, may run the risk of receiving a failing gradeor receiving a lower grade than the student might havesecured had the student been in regular attendance(Policy 42-27).

Grade Point Breakdown

Grade Policy: Points (450 total) are distributed as follows

100 points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . quizzes (4 pts each)100 points . . . . . . . . . . . . . . . . . . . . . . . . . . homework (20 pts each)100 points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . midterm150 points . . . . . . . . . . . . . . . . . . comprehensive final examination

Grading: Final grades are guaranteed to be at least...

A 415-450 pts B 370-394 pts C 315-349 ptsA- 405-414 pts B- 360-369 pts D 270-314 ptsB+ 395-404 pts C+ 350-359 pts F 0-269 pts

FINAL THOUGHTS

Homework Help

I Talking problems out is one of the *BEST* things you can doto help you learn math. I highly recommend:

1. Form study groups; make friends!

2. Visit office hours

3. Post questions on Piazza

Disability Access Statement

Penn State welcomes students with disabilities into the University’seducational programs. The Office for Disability Services (ODS)Web site provides contact information for every Penn Statecampus: http://equity.psu.edu/ods/dcl. For furtherinformation, please visit the Office for Disability Services Web site:http://equity.psu.edu/ods.

In order to receive consideration for reasonable accommodations,you must contact the disability services office, participate in anintake interview, and provide documentation:http://equity.psu.edu/ods/guidelines. If thedocumentation supports your request for reasonableaccommodations, your campuss disability services office willprovide you with an accommodation letter. Please share this letterwith me ASAP. You must follow this process for every semesterthat you request accommodations.

Academic Integrity Statement

Academic integrity is the pursuit of scholarly activity free fromfraud and deception and is an educational objective of thisinstitution. All University policies regarding academic integrityapply to this course.Academic dishonesty includes, but is not limited to, cheating,plagiarizing, facilitating acts of academic dishonesty by others,having unauthorized possession of examinations, submitting workof another person or work previously used without informing theinstructor, or tampering with the academic work of other students.All exam answers must be your own, and you must not provide anyassistance to other students during exams.Any instances of academic dishonesty WILL be pursued under theUniversity and Eberly College of Science regulations concerningacademic integrity.

When In Doubt...

Talk to me as soon as possible.

No matter how small your difficulties may seem, I am willing towork with you.

I want everyone in this class to succeed. Everyone.Help me with my goal by

I being committed to your own success,(make time for your work)

I being committed to the success of your classmates,(share ideas and mistakes)

I keeping perspective.(this is just one class, don’t get too stressed out)